3401680 has 40 divisors (see below), whose sum is σ = 8006184. Its totient is φ = 1344000.

The previous prime is 3401663. The next prime is 3401689. The reversal of 3401680 is 861043.

It can be written as a sum of positive squares in 4 ways, for example, as 219024 + 3182656 = 468^2 + 1784^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3401689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7870 + ... + 8290.

Almost surely, 2^3401680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3401680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4003092).

3401680 is an abundant number, since it is smaller than the sum of its proper divisors (4604504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3401680 is a wasteful number, since it uses less digits than its factorization.

3401680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 3401680 is about 1844.3643891596. The cubic root of 3401680 is about 150.3942222769.

The spelling of 3401680 in words is "three million, four hundred one thousand, six hundred eighty".